User:Moremajorthanmajor/7L 4s (11/4-equivalent): Difference between revisions

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{{Infobox MOS
⅜{{Infobox MOS
|Periods=1|nLargeSteps=7|nSmallSteps=4|Equalized=3|Paucitonic=2|Pattern=LLsLLsLLsLs|Equave=11/4}}'''7L 4s<11\4>''' has a generator of a narrow wolf to perfect fourth of 477.632 (3/11ed11\4) to 500.377 (2/7ed11\4) cents. Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
|Periods=1|nLargeSteps=7|nSmallSteps=4|Equalized=3|Paucitonic=2|Pattern=LLsLLsLLsLs|Equave=11/4}}'''7L 4s<11\4>''' has a generator of a narrow wolf to perfect fourth of 477.632 (3/11ed11\4) to 500.377 (2/7ed11\4) cents. Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
==Scale tree==
==Scale tree==
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="7" rowspan="2" |Generator
! colspan="7" rowspan="2" |Generator
! colspan="2" |Cents<ref name=":0">13ths in dozenal, 17ths in hex</ref>
! colspan="2" |Cents<ref name=":0">Fractions which repeat in more than 3 digits in sexagesimal</ref>
! colspan="2" |''ed3\2<ref name=":0" />''
! colspan="2" |''ed3\2<ref name=":0" />''
! rowspan="2" |L
! rowspan="2" |L
Line 17: Line 17:
|-
|-
|3\11|| || || || ||
|3\11|| || || || ||
| ||514.286
| ||514¢17’9”
|685.714
|514¢17’9”
|''490.{{Overline|90}}''
|''490.{{Overline|90}}''
|''654.{{Overline|54}}''||1||1||1.000||
|''490.{{Overline|90}}''||1||1||1.000||
|-
|-
| || || || || ||17\62
| || || || || ||17\62
| ||510
| ||510
|540
|540
|''493.548''
|''493r¢32’54”''
|''522.581''||6||5||1.200||
|''522r¢34’50”''||6||5||1.200||
|-
|-
| || || || ||14\51||
| || || || ||14\51||
| ||509.{{Overline|09}}
| ||509.{{Overline|09}}
|545.{{Overline|45}}
|545.{{Overline|45}}
|''494.{{Overline|1E}}''
|''494r¢7’4”''
|''529.{{Overline|87}}''||5||4||1.250||
|''529r¢24’42”''||5||4||1.250||
|-
|-
| || || || || ||25\91
| || || || || ||25\91
| ||508.475
| ||508¢28’28”
|549.1545
|549¢9’9”
|''494.5055''
|''494r¢30’20”''
|''534.066''||9||7||1.286||
|''534r¢3’57”''||9||7||1.286||
|-
|-
| || || ||11\40|| ||
| || || ||11\40|| ||
| ||507.{{Overline|83}}
| ||507¢41’32”
|553.{{Overline|X1}}
|553¢50’46”
|''495''
|''495''
|''540''||4||3||1.333||
|''540''||4||3||1.333||
|-
|-
| || || || || ||30\109
| || || || || ||30\109
| ||507.042
| ||507¢2’32”
|557.7465
|557¢44’47”
|''495.413''
|''495r¢24’46”''
|''544.954''||11||8||1.375||
|''544r¢57’15”''||11||8||1.375||
|-
|-
| || || || ||19\69||
| || || || ||19\69||
| ||506.{{Overline|6}}
| ||506.{{Overline|6}}
|560
|560
|''495.652''
|''495r¢39’8”''
|''547.826''||7||5||1.400||
|''547r49’34”''||7||5||1.400||
|-
|-
| || || || || ||27\98
| || || || || ||27\98
| ||506.25
| ||506.25
|562.5
|562.5
|''495.918''
|''495r¢55’6”''
|''551.02''||10||7||1.428||
|''551r¢1’13”''||10||7||1.428||
|-
|-
| || ||8\29|| || ||
| || ||8\29|| || ||
| ||505.263
| ||505¢15’47”
|568.421
|568¢25’16”
|''496.552''
|''496r¢33’6”''
|''558.621''||3||2||1.500||L/s = 3/2
|''558¢37’14”''||3||2||1.500||L/s = 3/2
|-
|-
| || || || || ||29\105
| || || || || ||29\105
| ||504.348
| ||504¢20’52”
|573.913
|573¢54’47”
|''497.143''
|''497r¢8’34”''
|''565.714''||11||7||1.571||
|''565r¢42’51”''||11||7||1.571||
|-
|-
| || || || ||21\76||
| || || || ||21\76||
| ||504
| ||504
|576
|576
|''497.368''
|''497r¢22’6”''
|''568.421''||8||5||1.600||
|''568¢25’16”''||8||5||1.600||
|-
|-
| || || || || ||34\123
| || || || || ||34\123
| ||503.{{Overline|703}}
| ||503.{{Overline|703}}
|577.{{Overline|7}}
|577.{{Overline|7}}
|''497.561''
|''497r¢33’40”''
|''570.732''||13||8||1.625||Unnamed golden tuning
|''570r¢43’54”''||13||8||1.625||Unnamed golden tuning
|-
|-
| || || ||13\47|| ||
| || || ||13\47|| ||
| ||503.226
| ||503¢13’33”
|580.645
|580¢38’43”
|''497.823''
|''497¢49’47”''
|''574.468''||5||3||1.667||
|''574r¢28’5”''||5||3||1.667||
|-
|-
| || || || || ||31\112
| || || || || ||31\112
| ||502.{{Overline|702}}
| ||502.{{Overline|702}}
|583.{{Overline|783}}
|583.{{Overline|783}}
|''498.214''
|''498r¢12’51”''
|''578.571''||12||7||1.714||
|''578r¢34’17”''||12||7||1.714||
|-
|-
| || || || ||18\65||
| || || || ||18\65||
| ||502.326
| ||502¢19’32”
|586.0465
|586¢2’47”
|''498.{{Overline|56}}''
|''498r¢27’42”''
|''581.{{Overline|65}}''||7||4||1.750||
|''581r¢32’18”''||7||4||1.750||
|-
|-
| || || || || ||23\83
| || || || || ||23\83
| ||501.{{Overline|81}}
| ||501.{{Overline|81}}
|589.{{Overline|09}}
|589.{{Overline|09}}
|''498.795''
|''498r¢47’43”''
|''585.542''||9||5||1.800||
|''585r¢33’15”''||9||5||1.800||
|-
|-
|
|
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|
|
|28\101
|28\101
|501.4925
|501¢29’35”
|591.045
|591¢3’23”
|''499.01''
|''499r¢36’''
|''588.118''
|''588r¢7’8”''
|11
|11
|6
|6
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|
|
|27\97
|27\97
|498.{{Overline|56}}
|498¢47’43”
|609.{{Overline|29}}
|609¢13’51”
|''501.031''
|''501r¢1’51”''
|''612.371''
|''612r¢22’16”''
|11
|11
|5
|5
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|-
|-
| || || || || ||22\79
| || || || || ||22\79
| ||498.116
| ||498¢6’48”
|611.321
|611¢19’15”
|''501.265''
|''501¢15’57”''
|''615.19''||9||4||2.250||
|''615r¢11’24”''||9||4||2.250||
|-
|-
| || || || ||17\61||
| || || || ||17\61||
| ||497.561
| ||497¢33’40”
|614.634
|614¢38’3”
|''501.639''
|''501r¢38’22”''
|''619.672''||7||3||2.333||
|''619r¢40’20”''||7||3||2.333||
|-
|-
| || || || || ||29\104
| || || || || ||29\104
| ||497.143
| ||497¢8’34”
|617.143
|617¢8’34”
|''501.{{Overline|E0}}''
|''501r¢55’23”''
|''623.{{Overline|0E}}''||12||5||2.400||
|''623r¢4’37”''||12||5||2.400||
|-
|-
| || || ||12\43|| ||
| || || ||12\43|| ||
| ||496.552
| ||496¢33’6”
|620.69
|620¢41’23”
|''502.326''
|''502r¢19’32”''
|''627.907''||5||2||2.500||
|''627r¢54’25”''||5||2||2.500||
|-
|-
| || || || || ||31\111
| || || || || ||31\111
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|-
|-
| || || || ||19\68||
| || || || ||19\68||
| ||495.652
| ||495¢39’8”
|626.087
|626¢5’13”
|''502.{{Overline|F0}}''
|''502r¢56’28”''
|''635.{{Overline|4B}}''||8||3||2.667||
|''635r¢17’39”''||8||3||2.667||
|-
|-
| || || || || ||26\93
| || || || || ||26\93
| ||495.238
| ||495¢14’17”
|628.571
|628¢34’17”
|''503.226''
|''503r¢13’33”''
|''638.71''||11||4||2.750||
|''638r¢42’35”''||11||4||2.750||
|-
|-
| || ||7\25|| || ||
| || ||7\25|| || ||
| ||494.{{Overline|1E}}
| ||494¢7’4”
|635.{{Overline|4B}}
|635¢17’39”
|''504''
|''504''
|''648''||3||1||3.000||L/s = 3/1
|''648''||3||1||3.000||L/s = 3/1
Line 205: Line 205:
|
|
|30\107
|30\107
|493.151
|493¢9’2”
|641.096
|641¢5’45”
|''504.672''
|''504r¢40’22”''
|''656.075''
|''656r¢1’41”''
|13
|13
|4
|4
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|-
|-
| || || || || ||23\82
| || || || || ||23\82
| ||492.857
| ||492¢51’26”
|642.857
|642¢51’26”
|''504.878''
|''504r¢52’41”''
|''658.537''||10||3||3.333||
|''658¢32’12”''||10||3||3.333||
|-
|-
| || || || ||16\57||
| || || || ||16\57||
| ||492.{{Overline|38}}
| ||492¢18’28”
|646.{{Overline|1X}}
|646¢50’46”
|''505.263''
|''505r¢15’47”''
|''663.158''||7||2||3.500||
|''663r¢9’28”''||7||2||3.500||
|-
|-
| || || || || ||25\89
| || || || || ||25\89
| ||491.803
| ||491¢48’12”
|649.18
|649¢10’49”
|''505.618''
|''505r¢37’5”''
|''667.416''||11||3||3.667||
|''667r¢24’57”''||11||3||3.667||
|-
|-
| || || ||9\32|| ||
| || || ||9\32|| ||
Line 239: Line 239:
|-
|-
| || || || || ||20\71
| || || || || ||20\71
| ||489.796
| ||489¢47’45”
|661.2245
|661¢13’28”
|''507.042''
|''507r¢2’32”''
|''684.507''||9||2||4.500||
|''684r¢30’25”''||9||2||4.500||
|-
|-
| || || || ||11\39||
| || || || ||11\39||
| ||488.{{Overline|8}}
| ||488.{{Overline|8}}
|666.{{Overline|6}}
|666.{{Overline|6}}
|''507.{{Overline|83}}''
|''507r¢41’32”''
|''692.{{Overline|38}}''||5||1||5.000||
|''692r¢30’25”''||5||1||5.000||
|-
|-
| || || || || ||13\46
| || || || || ||13\46
| ||487.5
| ||487.5
|675
|675
|''508.696''
|''508r¢41’44”''
|''704.348''||6||1||6.000||
|''704r¢20’52”''||6||1||6.000||
|-
|-
|2\7|| || || || ||
|2\7|| || || || ||

Revision as of 17:32, 14 March 2022

⅜Lua error in Module:MOS at line 28: attempt to index local 'equave' (a nil value).7L 4s<11\4> has a generator of a narrow wolf to perfect fourth of 477.632 (3/11ed11\4) to 500.377 (2/7ed11\4) cents. Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.

Scale tree

Generator Cents[1] ed3\2[1] L s L/s Comments
g 3L g 3L
3\11 514¢17’9” 514¢17’9” 490.90 490.90 1 1 1.000
17\62 510 540 493r¢32’54” 522r¢34’50” 6 5 1.200
14\51 509.09 545.45 494r¢7’4” 529r¢24’42” 5 4 1.250
25\91 508¢28’28” 549¢9’9” 494r¢30’20” 534r¢3’57” 9 7 1.286
11\40 507¢41’32” 553¢50’46” 495 540 4 3 1.333
30\109 507¢2’32” 557¢44’47” 495r¢24’46” 544r¢57’15” 11 8 1.375
19\69 506.6 560 495r¢39’8” 547r49’34” 7 5 1.400
27\98 506.25 562.5 495r¢55’6” 551r¢1’13” 10 7 1.428
8\29 505¢15’47” 568¢25’16” 496r¢33’6” 558¢37’14” 3 2 1.500 L/s = 3/2
29\105 504¢20’52” 573¢54’47” 497r¢8’34” 565r¢42’51” 11 7 1.571
21\76 504 576 497r¢22’6” 568¢25’16” 8 5 1.600
34\123 503.703 577.7 497r¢33’40” 570r¢43’54” 13 8 1.625 Unnamed golden tuning
13\47 503¢13’33” 580¢38’43” 497¢49’47” 574r¢28’5” 5 3 1.667
31\112 502.702 583.783 498r¢12’51” 578r¢34’17” 12 7 1.714
18\65 502¢19’32” 586¢2’47” 498r¢27’42” 581r¢32’18” 7 4 1.750
23\83 501.81 589.09 498r¢47’43” 585r¢33’15” 9 5 1.800
28\101 501¢29’35” 591¢3’23” 499r¢36’ 588r¢7’8” 11 6 1.833
5\18 500 600 500 600 2 1 2.000
27\97 498¢47’43” 609¢13’51” 501r¢1’51” 612r¢22’16” 11 5 2.200
22\79 498¢6’48” 611¢19’15” 501¢15’57” 615r¢11’24” 9 4 2.250
17\61 497¢33’40” 614¢38’3” 501r¢38’22” 619r¢40’20” 7 3 2.333
29\104 497¢8’34” 617¢8’34” 501r¢55’23” 623r¢4’37” 12 5 2.400
12\43 496¢33’6” 620¢41’23” 502r¢19’32” 627r¢54’25” 5 2 2.500
31\111 496 624 502.702 632.432 13 5 2.600 Unnamed golden tuning
19\68 495¢39’8” 626¢5’13” 502r¢56’28” 635r¢17’39” 8 3 2.667
26\93 495¢14’17” 628¢34’17” 503r¢13’33” 638r¢42’35” 11 4 2.750
7\25 494¢7’4” 635¢17’39” 504 648 3 1 3.000 L/s = 3/1
30\107 493¢9’2” 641¢5’45” 504r¢40’22” 656r¢1’41” 13 4 3.250
23\82 492¢51’26” 642¢51’26” 504r¢52’41” 658¢32’12” 10 3 3.333
16\57 492¢18’28” 646¢50’46” 505r¢15’47” 663r¢9’28” 7 2 3.500
25\89 491¢48’12” 649¢10’49” 505r¢37’5” 667r¢24’57” 11 3 3.667
9\32 490.90 654.54 506.25 675 4 1 4.000
20\71 489¢47’45” 661¢13’28” 507r¢2’32” 684r¢30’25” 9 2 4.500
11\39 488.8 666.6 507r¢41’32” 692r¢30’25” 5 1 5.000
13\46 487.5 675 508r¢41’44” 704r¢20’52” 6 1 6.000
2\7 480 720 720 1080 1 0 → inf
  1. ↑ 1.0 1.1 Fractions which repeat in more than 3 digits in sexagesimal
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